Open AccessSolution of overdetermined systems of equations using the conforming subsystem selection
Author(s) -
В. А. Фурсов,
A. P. Kotov,
Yegor Goshin
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1368/5/052009
Subject(s) - overdetermined system , polynomial , selection (genetic algorithm) , mathematics , system of linear equations , degrees of freedom (physics and chemistry) , noise (video) , computer science , mathematical optimization , mathematical analysis , artificial intelligence , physics , quantum mechanics , image (mathematics)
Within this research, we consider an overdetermined system of equations generated on a small number of observations. The degrees of freedom of the overdetermined system and the number of observations are roughly equal. We propose a modification of the Conformed Estimates Method (CEM). The method improvement consists of the usage of an auxiliary system, which is formed from the initial system by reducing the columns. The estimates can be obtained on the higher-level auxiliary subsystem, which is the freest from noise. We consider our method in the problem of computing Rational Polynomial Coefficients (RPCs) from well-established Ground Control Points (GCPs).